30820269999348 has 144 divisors (see below), whose sum is σ = 81514046250000. Its totient is φ = 9805878534144.

The previous prime is 30820269999329. The next prime is 30820269999397. The reversal of 30820269999348 is 84399996202803.

30820269999348 is a `hidden beast` number, since 30 + 82 + 0 + 2 + 6 + 99 + 99 + 348 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3675878238564 + 27144391760784 = 1917258^2 + 5210028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547897528 + ... + 547953776.

It is an arithmetic number, because the mean of its divisors is an integer number (566069765625).

Almost surely, 2^{30820269999348} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30820269999348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40757023125000).

30820269999348 is an abundant number, since it is smaller than the sum of its proper divisors (50693776250652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30820269999348 is a wasteful number, since it uses less digits than its factorization.

30820269999348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62274 (or 62269 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 30820269999348 in words is "thirty trillion, eight hundred twenty billion, two hundred sixty-nine million, nine hundred ninety-nine thousand, three hundred forty-eight".